Least Common Multiple of 267/135, 615/984, 129/232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 267/135, 615/984, 129/232 quickly i.e. 2353605 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 267/135, 615/984, 129/232 is 2353605.

LCM(267/135, 615/984, 129/232) = 2353605

LCM of 267/135, 615/984, 129/232

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 267/135,615/984,129/232

Given numbers are 267/135,615/984,129/232

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 267,615,129

Least Common Multiple of Numerators i.e. LCM of 267,615,129 is 2353605.

GCF of Denominators means GCF of 135,984,232 as per the given fractions.

GCF of 135,984,232 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 267,615,129

LCM of Fractions 267/135,615/984,129/232 is 2353605

3 267, 615, 129
89, 205, 43

∴ So the LCM of the given numbers is 3 x 89 x 205 x 43 = 2353605

Least Common Multiple of 267,615,129 with GCF Formula

Least Common Multiple of 267,615,129 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 267,615,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(267,615,129) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(267,615,129) x common factors =3 x 3 = 9

LCM(267,615,129) = ( 267 × 615 × 129 ) / 9

LCM(267,615,129) = 21182445 / 9

LCM(267,615,129) = 2353605


Lets's calculate GCF of 135,984,232

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2353605/1

Therefore the LCM of Fractions 267/135,615/984,129/232 is 2353605

Greatest Common Factor of 135,984,232 By Matching Biggest Common Factor Method

Greatest Common Factor of 135,984,232 By Matching Biggest Common Factor Method

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Greatest Common Factor

We found the factors 135,984,232 . The biggest common factor number is the GCF number.
So the greatest common factor 135,984,232 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 267/135, 615/984, 129/232

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 267/135, 615/984, 129/232?

Answer: LCM of Numerators as per given numbers 267/135, 615/984, 129/232 is

LCM of Numerators i.e. for 267,615,129 is 2353605

GCF of denominators i.e. for 135,984,232 is 1.

Thus, LCM of Fractions is 2353605.Finally, LCM of Fractions for 267/135, 615/984, 129/232 is 2353605.